Admission to a baseball game is $4.50 for general admission and $7.00 for reserve seats. The receipts were $5694 for 1112 paid admissions.How many of each ticket were sold?
x = number of reserve tickets
1112 - x = number of general admission tickets {a total of 1112 tickets were sold} 4.5(1112 - x) + 7x = 5694 {value of ticket times number of tickets equals total value} 5004 - 4.5x + 7x = 5694 {used distributive property} 5004 + 2.5x = 5694 {combined like terms} 2.5x = 690 {subtracted 5004 from each side} x = 276 {divided each side by 2.5} 1112 - x = 836 {substituted 276, in for x, into 1112 - x} 276 reserve tickets 836 general admission tickets - Algebra House Comments are closed.
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